There are many rigs about that are designed for particular fish, or for particular waters; 360, Bent hook, Withy Pool rig etc.
The problems come when every man and his dog use them for every fish that swims. Used in the right situation, for the larger fish they will usually cause absolutely no problems (that is NOT condoning there use), but when every fish that picks up the bait is nailed, then mouth damage can occur, especially more so with smaller fish that often feed and get hooked more.
I know that a number of people dislike Longshank hooks for mouth damage, but then many who use them are fishing for smaller fish. Yet there are Big Name anglers who use them specifically for larger fish (over 25lbs for example), and the problem is not evident.
In most cases, simple is best, a knotless knotted or line aligned rig with a supple hair is probably the most effective catcher going, even a supposedly inefficient rig can be made effective, by how you get the fish feeding.